susskind lecture notes general relativity

... be obtained in the mechatronic servo system assame as the general feedback system For taking into account the system as same as the general feedback system, the condition is that the systemshould ... previous or present servo system can be numeri-expressed by K p In general, the value of K p is the high rigid of huge ma-chine In the general rotation plate, machine center, etc, the value of K p ... interval of robot controller is generally adopted with about 20[ms] This velocity is lower than the velocity of appearing centrifugal force rated with two times velocity for general issue or collision

Ngày tải lên: 13/02/2014, 08:20

... generously al-lowing me to use his lecture notes in stochastics Most of Chapter 2 andpart of Chapter 3 follows closely his lecture Without his contributionthese notes would not exist Special thanks ... of these notes was also presented, sometimes in condensedform, to MA students at the IMPA in Rio, ETH Z¨urich, to practi- 1 An English translation of F¨ollmer’s paper is added to these notes in ... Trang 1Lecture Notes in Economics Trang 2Dieter SondermannIntroduction to Stochastic Calculus for Finance A

Ngày tải lên: 22/02/2014, 06:20

... environments Third, techniques that are based on track-ing a desired force at the end-effector generally use Cartesian controlschemes that are computationally much more intensive and prone to ... a compliant motion control scheme Gertz et al.[23], Walker [91] and Lin et al [39] have used a generalized inertia-weighted inverse of the Jacobian to resolve redundancy in order to reduceimpact ... the proposed algorithms for contact force and compliantmotion control of redundant manipulators, general conclusions are drawnconcerning the research described in this monograph Future avenues

Ngày tải lên: 05/03/2014, 15:20

... Trang 1Biochemical PharmacologyLecture Notes Michael Palmer, Department of Chemistry, University of Waterloo, Canada Third edition, January 2007 Trang 2About these notes viChapter 1 Introduction ... antibodies in tumour therapy 129 Chapter 14 Credits 133 Index 136 v Trang 6These course notes have been assembled during several classes I taught on Biochemical Pharmacology I welcomecorrections ... about 100 years old (OK, so that is relative – long ago for you, but I’m nearly there.) 2 It is not generally true The idea of defined receptor molecules for drugs or poisons was conceived by Paul

Ngày tải lên: 15/03/2014, 14:20

... Trang 1MBA 604 Introduction Probaility and StatisticsLecture Notes Muhammad El-Taha Department of Mathematics and Statistics University of Southern Maine ... sample measurements arecalled parameters T F (vi) The number of students attending a Mathematics lecture on any given day is a discrete variable Trang 22T F (vii) The median is a better measure ... second experiment, we see,from the basic principle, that there are 10× 3 = 30 possible choices. Generalized basic principle of counting Trang 30If r experiments that are to be performed are such

Ngày tải lên: 17/03/2014, 03:20

... Differential Geometry and General RelativityLecture Notes by Stefan Waner, with a Special Guest Lecture by Gregory C Levine Department of Mathematics, Hofstra University These notes are dedicated to ... Manifolds: An Introduction to Relativity 50 8 Covariant Differentiation 61 9 Geodesics and Local Inertial Frames 69 10 The Riemann Curvature Tensor 82 11 A Little More Relativity: Comoving Frames ... 12 The Stress Tensor and the Relativistic Stress-Energy Tensor 100 13 Two Basic Premises of General Relativity 109 14 The Einstein Field Equations and Derivation of Newton's Law 114 15 The Schwarzschild

Ngày tải lên: 17/03/2014, 14:28

... predictions of general relativity: the advance of the perihelion of Mercury and the bending of light by matter. Of course the theoretical basis of these computations, i.e. the theory of general relativity, ... Semi-Riemann Geometry and General Relativity Shlomo Sternberg September 24, 2003 2 0.1 Introduction This book represents course notes for a one semester course at the undergraduate level ... coor- dinates” which become so important in Riemannian geometry and, as “inertial frames,” in general relativity. It was this theorem of Gauss, and particularly the very notion of “intrinsic geometry”,

Ngày tải lên: 17/03/2014, 14:28

... a set of lecture notes on cryptography compiled for 6.87s, a one week long course on cryptographytaught at MIT by Shafi Goldwasser and Mihir Bellare in the summers of 1996–2001 The notes wereformed ... summers of 1996–2001 The notes wereformed by merging notes written for Shafi Goldwasser’s Cryptography and Cryptanalysis course at MIT withnotes written for Mihir Bellare’s Cryptography and network ... 11.5,and Appendix D to the notes, and also compiled, from various sources, some of the problems in Appendix E.Cryptography is of course a vast subject The thread followed by these notes is to develop

Ngày tải lên: 28/03/2014, 20:20

... Trang 1Lecture Notes on Discrete MathematicsA K LalSeptember 26, 2012 Trang 31.1 Basic Set Theory 5 1.2 ... d = ax + by 2 In general, given two non-zero integers a and b, we can use the division algorithm to getgcd(a, b) This algorithm is also attributed to Euclid Without loss of generality, assumethat ... place of “function” So, both the words may be usedinterchangeably through out the notes 4 Through out these notes, whenever the phrase “let f : A−→B be a function” is used, itwill be assumed

Ngày tải lên: 31/03/2014, 12:20

... complex valued functions of one complex variable Unless otherwise stated, all functions in these notes are of the form f : S → C, where S is a set in C. We shall study the behaviour of such functions ... iy ∈ C : x, y ∈ R and 0 ≤ x ≤ 1 and 0 < y < 1} is bounded but not closed Trang 8In these lectures, we study complex valued functions of one complex variable In other words, we studyfunctions ... 17In matrix notation, these become3.4 Introduction to Special Functions In this section, we shall generalize various functions that we have studied in real analysis to the complexdomain Consider

Ngày tải lên: 31/03/2014, 15:17

... statingthat by approximation these rules hold in general I also did not reproduce in class some of the more complicated proofs provided in these notes, although I did try to explain theguiding ... who several years ago presented the class withseveral lectures on financial applications, and to Fraydoun Rezakhanlou, who has taughtfrom these notes and added several improvements I am also grateful ... integrals, Itˆo’s formula Chapter 5: Stochastic differential equations Trang 2These are an evolvingset of notes for Mathematics 195 at UC Berkeley This course is for advanced undergraduate math majors and

Ngày tải lên: 31/03/2014, 15:56

... Companion for explanation Type H ¡return¿ for immediate help Rnchapter.1 1 Trang 2Topology Lecture NotesThomas Ward, UEA June 4, 2001 Trang 3Chapter 1 Topological Spaces 35 Three important examples ... is, δ[hσi] = σ0(1), where pσ0 = σ and σ0(0) = z0.Proof Before going through the proof in your lecture notes, derstand what needs to be checked un-(1) δ is well-defined: if [hσi] = [hτ i] then z0hσi ... talking about continuityand so on without involving metrics This turns out to be convenientand more general – by simply dealing with open sets, we are able to define topological spaces, which turns

Ngày tải lên: 31/03/2014, 16:27

... actions, (such as a consumption bundle) of the individual, X denotes the set of possible actions available (such as the budget set), µdenotes a vector of parameters that are outside the control of ... not, in general, the parameter vector, µ, is assumed to be known, or determined as an outcome of exogenouschance events Therefore, determining the best action for an individual in a game, in general,requires ... really wants to marry her and tries to show that he is smart by cracking jokes and being funny in general during the date However, being funny is not very easy It is just stressful, and particularly

Ngày tải lên: 08/04/2014, 12:16

... having in mind both the perspective of General Relativity and Gauge Theories for which the present course constitutes an essential basis, but also a much more general perspective 3 Trang 5of our ... that they have the same form in whatsoever atlas This is the principle of general covariance at the basis of General Relativity: all observers see the same laws of physics Similarly in a wider ... Trang 1A COURSE in GENERAL RELATIVITY Prof PIETRO FRE’ University of Torino November 17, 2003 Trang 21.2.3 Germs of smooth

Ngày tải lên: 24/04/2014, 17:06

... deeper understanding of special relativity, andfacilitates the transition to general relativity Chapter 2 introduces the physical principles on which general relativity isbased The basic concepts ... introduction to the physics and mathematics of general relativity whichdemands careful study The book can stand alone as an introduction to generalrelativity or it can be used as an adjunct to ... the effect is real Relativity predicts the measured difference Exercise1.10shows that specialrelativity predicts a difference between the clocks Exercise 2.1 shows thatgeneral relativity predicts

Ngày tải lên: 24/04/2014, 17:07

... unsur- passed pedagogical presentation of the elementary aspects of general relativity, I like Schutz’ A first course in general relativity For its unsurpassed completeness, I like Gravitation, ... widely in the general relativity literature, most notably in the field of mathematical cosmology Another topic covered in Chapter 2 are the standard energy conditions of general relativity; these ... singularity theorems of general relativity, a topic that (unfortunately) is not covered in this book 2.1.1 Introduction and summary In the context of classical general relativity, it is reasonable

Ngày tải lên: 24/04/2014, 17:07

... grateful to Dr Guna Rajagopal for preparing the lecture notes of which these are anupdated version Course Outline • Operator Methods in Quantum Mechanics (2 lectures): Mathematical foundations ofnon-relativistic ... T denotes the transpose of a matrix and |A| denotes the determinant of matrix A Problem 9: • If A, B, C are 3 n × n square matrices, show that T r(ABC) = T r(CAB) = T r(BCA), where T r denotes ... Trang 1Lecture Notes and ExamplesB R Webber and N R Cooper Lent Term 2004 Trang 2In this course, we cover the

Ngày tải lên: 24/04/2014, 17:13

... Trang 1ECE 410: VLSI DesignCourse Lecture Notes (Uyemura textbook) Professor Andrew Mason Michigan State University Trang 2CMOS Circuit ... resembles how the circuit will look in physical layout x y z Trang 20Complex Combinational Logic• General logic functions – for example • How do we construct the CMOS gate? – use DeMorgan principles ... 25Structured Logic• Recall CMOS is inherently Inverting logic • Can used structured circuits to implement general logic functions • AOI: implements logic function in the order AND, OR, NOT (Invert) – Example:

Ngày tải lên: 28/04/2014, 11:04

... covered later • doping concentration and temperature determine resistivity • Conduction/Resistance – generally, the Si we see in CMOS is doped • at room temp., doped silicon is a weak conductor = high ... connected to the power supply within each cell – use many connections to reduce resistance – generally place • ~ 1 substrate contact per nMOS tx • ~ 1 nWell contact per pMOS tx – this connection ... • Multiple contacts can be used to reduce resistance – Rc,eff = Rc / N, N=number of contacts • Generally use as many contacts as space allows N=6 use several Contacts in wide txs add Vias if

Ngày tải lên: 28/04/2014, 11:04

... • example follows cell cascade VDD GND jumpers VDD GND jumpers VDD GND GND VDD jumpers Trang 4• General Rules– use lowest level interconnects possible • if process has less than ~3 metal layers ... of a Multiplexor – select one output from multiple inputs – 2:1 MUX logic • CMOS Multiplexors – generally formed using switch logic rather than static • 2:1 MUX using Transmission Gates • 4:1

Ngày tải lên: 28/04/2014, 11:04